Details

analyze9.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample33.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	73×	body	512	valid
8.0ms	143×	body	128	valid
3.0ms	32×	body	256	valid
2.0ms	8×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify166.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 13.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
3.3b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite129.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_2806`
95×	`add-sqr-sqrt_binary64_2828`
90×	`times-frac_binary64_2812`
43×	`add-cube-cbrt_binary64_2841`
30×	`distribute-lft-out--_binary64_2758`
27×	`cancel-sign-sub-inv_binary64_2772`
23×	`difference-of-squares_binary64_2775`
11×	`add-exp-log_binary64_2844` `associate-/r*_binary64_2750`
10×	`distribute-lft-out_binary64_2757`
8×	`associate-/r/_binary64_2752`
7×	`div-inv_binary64_2803` `add-cbrt-cube_binary64_2842` `difference-of-sqr-1_binary64_2776`
6×	`associate-/l*_binary64_2751`
5×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
4×	`div-exp_binary64_2857` `flip--_binary64_2781`
3×	`flip3--_binary64_2810`
2×	`1-exp_binary64_2850` `pow-flip_binary64_2880` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `flip-+_binary64_2780` `inv-pow_binary64_2891` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `frac-sub_binary64_2815` `flip3-+_binary64_2809`

Counts

3 → 151

Calls

3 calls:

76.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
13.0ms	(/.f64 1 (-.f64 x 1))
11.0ms	(/.f64 1 (+.f64 x 1))

series113.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
17.0ms	(/.f64 1 (-.f64 x 1))
16.0ms	(/.f64 1 (+.f64 x 1))

simplify189.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4814	2407
1	4814	2407

prune299.0ms (6.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	1	161

Merged error: 0.2b

Counts

161 → 1

Compiler

Compiled 2679 to 2187 computations (18.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r_binary64_2750` `associate-/l_binary64_2751`
2×	`associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809` `clear-num_binary64_2805` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

1 → 29

Calls

1 calls:

9.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series42.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify133.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5511	557

prune63.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.2b

Counts

33 → 5

Compiler

Compiled 543 to 372 computations (31.5% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
16.7b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.7b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.7b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_2838`
15×	`add-exp-log_binary64_2844`
12×	`pow1_binary64_2867`
9×	`add-sqr-sqrt_binary64_2828` `pow-flip_binary64_2880` `pow1/3_binary64_2888` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `cbrt-prod_binary64_2837`
8×	`associate-/r/_binary64_2752`
7×	`add-cbrt-cube_binary64_2842`
4×	`frac-times_binary64_2816` `div-exp_binary64_2857` `add-log-exp_binary64_2845`
3×	`times-frac_binary64_2812` `prod-exp_binary64_2855` `associate-/l*_binary64_2751`
2×	`pow-sqr_binary64_2779` `1-exp_binary64_2850` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `pow-prod-up_binary64_2876` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877` `associate-l/_binary64_2749`
1×	`div-inv_binary64_2803` `associate-/r*_binary64_2750` `cbrt-unprod_binary64_2839` `inv-pow_binary64_2891` `pow2_binary64_2887` `clear-num_binary64_2805` `pow-plus_binary64_2869` `frac-2neg_binary64_2817`

Counts

4 → 82

Calls

4 calls:

26.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
5.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
5.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
5.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series406.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
95.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
93.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
91.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify128.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5201	1548

prune266.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	93	6	99

Merged error: 0.2b

Counts

99 → 6

Compiler

Compiled 2807 to 1901 computations (32.3% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (*.f64 x x))
0.1b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
23.4b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

rewrite86.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64_2828`
68×	`*-un-lft-identity_binary64_2806`
61×	`times-frac_binary64_2812`
44×	`difference-of-squares_binary64_2775`
36×	`associate-l_binary64_2747`
33×	`add-cube-cbrt_binary64_2841`
14×	`unpow-prod-down_binary64_2885` `sqr-pow_binary64_2778`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750`
7×	`distribute-lft-out--_binary64_2758`
5×	`flip3--_binary64_2810` `add-log-exp_binary64_2845` `flip--_binary64_2781` `pow1_binary64_2867`
4×	`associate-r_binary64_2746` `associate-/r/_binary64_2752`
3×	`cancel-sign-sub-inv_binary64_2772` `sub-neg_binary64_2799` `associate-/l*_binary64_2751`
2×	`frac-times_binary64_2816` `div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-*r/_binary64_2748` `unswap-sqr_binary64_2774`
1×	`-commutative_binary64_2737` `diff-log_binary64_2898` `clear-num_binary64_2805` `pow-prod-down_binary64_2877` `associate-l/_binary64_2749` `frac-2neg_binary64_2817`

Counts

3 → 134

Calls

3 calls:

39.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
15.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
6.0ms	(-.f64 -1 (*.f64 x x))

series201.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
60.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
52.0ms	(-.f64 -1 (*.f64 x x))

simplify134.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5324	2753

prune304.0ms (6.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	143	6	149

Merged error: 0.2b

Counts

149 → 6

Compiler

Compiled 3026 to 2232 computations (26.2% saved)

regimes120.0ms (2.6%)

Compiler: Compiled 694 to 542 computations (21.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample1.6s (35.7%)

Algorithm

1×

intervals

Results

323.0ms	1988×	body	512	valid
266.0ms	4616×	body	128	valid
113.0ms	984×	body	256	valid
91.0ms	412×	body	1024	valid

Compiler

Compiled 354 to 278 computations (21.5% saved)

Details

analyze9.0ms (0.2%)

sample33.0ms (0.7%)

simplify166.0ms (3.6%)

prune6.0ms (0.1%)

localize13.0ms (0.3%)

rewrite129.0ms (2.8%)

series113.0ms (2.4%)

simplify189.0ms (4.1%)

prune299.0ms (6.5%)

localize8.0ms (0.2%)

rewrite13.0ms (0.3%)

series42.0ms (0.9%)

simplify133.0ms (2.9%)

prune63.0ms (1.4%)

localize19.0ms (0.4%)

rewrite58.0ms (1.3%)

series406.0ms (8.8%)

simplify128.0ms (2.8%)

prune266.0ms (5.8%)

localize17.0ms (0.4%)

rewrite86.0ms (1.9%)

series201.0ms (4.4%)

simplify134.0ms (2.9%)

prune304.0ms (6.6%)

regimes120.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (35.7%)

Profiling